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Finding the Fourth Proportional to 422,500.38, 583,052.83 and 228,911.24

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Solution

The fourth proportional to 422,500.38, 583,052.83 and 228,911.24 is: 315,898.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,500.38 : 583,052.83 = 228,911.24 : x
  2. Step 2: Convert to fraction form
    422,500.38/583,052.83 = 228,911.24/x
  3. Step 3: Cross multiply
    422,500.38x = 583,052.83 × 228,911.24
  4. Step 4: Simplify right side
    422,500.38x = 133,467,346,833.95
  5. Step 5: Solve for x
    x = 133,467,346,833.95/422,500.38
  6. Step 6: Final answer
    x = 315,898.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.